Generalized Symmetries in Condensed Matter | Annual Reviews Menu Publications AZ Journal
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Quantum systems in 3+ 1 dimensions that are invariant under gauging a one-form symmetry
enjoy novel noninvertible duality symmetries encoded by topological defects. These …

We analyze lattice Hamiltonian systems whose global symmetries have't Hooft anomalies.
As is common in the study of anomalies, they are probed by coupling the system to classical …

We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

The Lieb-Schultz-Mattis (LSM) theorem provides a general constraint on quantum many-
body systems and plays a significant role in the Haldane gap phenomena and topological …

Two global symmetries are holoequivalent if their algebras of local symmetric operators are
isomorphic. A holoequivalent class of global symmetries is described by a topological order …

We outline a holographic framework that attempts to unify Landau and beyond-Landau
paradigms of quantum phases and phase transitions. Leveraging a modern understanding …

We present a systematic framework to classify symmetry-enriched topological quantum spin
liquids in two spatial dimensions. This framework can deal with all topological quantum spin …

Topologically ordered phases in 2+ 1 dimensions are generally characterized by three
mutually related features: fractionalized (anyonic) excitations, topological entanglement …

Abstract Lieb-Schultz-Mattis (LSM) theorems provide powerful constraints on the emergibility
problem, ie whether a quantum phase or phase transition can emerge in a many-body …